Solve 100(10000-x)-600000/100(10000-x)=0.3

$$\frac { 100 ( 10000 - x ) - 600000 } { 100 ( 10000 - x ) } = 0.3$$

Solve for x

$$x = \frac{10000}{7} = 1428\frac{4}{7} \approx 1428.571428571$$

Steps for Solving Linear Equation

Variable x cannot be equal to 10000 since division by zero is not defined. Multiply both sides of the equation by 100\left(-x+10000\right).

$$100\left(10000-x\right)-600000=30\left(-x+10000\right)$$

Use the distributive property to multiply 100 by 10000-x.

$$1000000-100x-600000=30\left(-x+10000\right)$$

Subtract 600000 from 1000000 to get 400000.

$$400000-100x=30\left(-x+10000\right)$$

Use the distributive property to multiply 30 by -x+10000.

$$400000-100x=-30x+300000$$

Add 30x to both sides.

$$400000-100x+30x=300000$$

Combine -100x and 30x to get -70x.

$$400000-70x=300000$$

Subtract 400000 from both sides.

$$-70x=300000-400000$$

Subtract 400000 from 300000 to get -100000.

$$-70x=-100000$$

Divide both sides by -70.

$$x=\frac{-100000}{-70}$$

Reduce the fraction \frac{-100000}{-70} to lowest terms by extracting and canceling out -10.

$$x=\frac{10000}{7}$$